Mixtures and Alligation

A container has $60$ litres of milk. From this container $6$ litres of milk was taken out and replaced by water.The process was further repeated twice. The volume of milk in the container after that is _________

A container contained $80$ litre of milk. From this container $8$ litre of milk was taken out and replaced by water. This process was further repeated three times. How much of milk is now contained by the container?

A can contains liquids $L_{1}$ and $L_{2}$ in the ratio $11 : 13$. Draw $24\ L$ of mixture from this Can and refill it by liquid $L_{2}$. If the can has now $L_{1}$ and $L_{2}$ in the ratio $2 : 3$, how much quantity of $L_{1}$ was in the can initially?

A bottle is full of dettol One third of it is taken out and then an equal amount of water is poured into the bottle to fill it This operation is done four times Find the final ratio of dettol and water in the bottle

The contents of two vessels containing water and milk in the ratio 1 : 2 and 2 : 5 are mixed in the ratio 1 : 4 The resulting mixture will have water and milk in the ratio

In a mixture of 100 L, the ratio of milk and water is 3 : 1. If 200 L of water is added to the mixture, what is the new ratio of milk and water?

A drum contains 20 litres of a paint. From this 2 litres of paint is taken out and replaced by 2 litres of oil. Again 2 litres of this mixture is taken out and replaced by 2 litres of oil. If this operation is performed once again, then what would be the final ratio of paint and oil in the drum ?

The ratio of petrol and kerosine in the container is 3 : 2 when 10 litres of the mixture is taken out and is replaced by the kerosine, the ratio becomes 2 : 3. Initially, the total quantity of the mixture in the container is

A measuring cylinder is filled one third full with ethanol. A mixture of ethanol, water and propanol is used to fill the measuring flask to capacity. What fraction of the final mixture is ethanol?

How much chicory at $Rs. 4$ a kg should be added to $15\ kg$ of tea at $Rs. 10$ a kg, so as to make the mixture worth $Rs. 6.50$ a kg?

The ratio of milk and water in $60$ Litres of adulterated milk is $2 : 1$. If the ratio of milk and water is to be $1 : 2$, then the amount of water to be added further is

A vessel contains 56 litres of a mixture of milk and water in the ratio 5 : 2. How much water should be mixed with it so that the ratio of milk and water may be 4 : 5?

A container contains 100 L of milk. From this container 10 L of milk was taken out and replaced by water. This process was further repeated three times. How much milk does the container have now?

Three vessels having volumes in the ratio $2:3:5$ are full of a mixture of water and milk. In the first vessel ratio of water and milks is $1:3$, in second $2:3$ and in third vessel $2:5$. If all the three vessels were poured out in a large container, what is the resulting ratio of milk and water?

A milk man has $80$ litres of mixture which contains $40\%$ water. If he sells $20$ litres of the mixture to his customers and adds $x$ litres of pure milk to the remaining, then the ratio of milk to water in the mixture becomes $13:2$. Find the value of $x$ ( in litres ).